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Finding the Third Proportional to 2,686,531,952 and 5,813,116,738

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Solution

The third proportional to 2,686,531,952 and 5,813,116,738 is: 12,578,419,618.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,686,531,952 : 5,813,116,738 = 5,813,116,738 : x
  2. Step 2: Convert to fraction form
    2,686,531,952/5,813,116,738 = 5,813,116,738/x
  3. Step 3: Cross multiply
    2,686,531,952x = 5,813,116,738 × 5,813,116,738
  4. Step 4: Simplify right side
    2,686,531,952x = 33,792,326,209,615,761,408
  5. Step 5: Solve for x
    x = 33,792,326,209,615,761,408/2,686,531,952
  6. Step 6: Final answer
    x = 12,578,419,618.07

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.